An object is thrown upward from the edge of a tall building with a velocity of 10 m/s. Where will the object be 3 s after it is thrown? Take g=10ms^2 A. 15m above the top of the building B. 30 m below the top of the building C. 15 m below the top of the building D. 30 m above the building
use of uniform accelerated motion equations are required here.....can help u if u can say where u got stuck
okay, i tried calculating the distance to the top using S=ut+1/2gt^2 and got 45m but i can't really the fix the part of its coming down.
lets break up this question into parts....can u find the time when the stone reaches maximum height(when velocity=0)? part 1
using v=u + at with negative acceleration due to gravity and final velocity of 10m/s, i got 1s for time to the maximum height
yes!
then we go to part 2 where for the remaining 2 seconds i want the dispalcement WITH RESPECT to ground from that max height point where u=0 i have t and have a so find s
using S = ut + 1/2gt^2 i got 20m. right?
yes
thats right and that is the height from the ground(dispalcement with respect to ground level)
i still did not get it, do you have an idea on how to go about it?
u got the answer 20 m above the ground thats all.......wat dint u get?
the answer is 15m above the building
@woleraymond, you are right the answer is 15m above, it will be nice to show the work out. and here it is: first calculate the distance covered by the object v^2 = u^2 + 2as where a = g = 10m/s^2 and since it is an upward motion g = -10m/s^2 therefore, 0 = 10^2 + 2(-10)s 0 = 100 - 20s and 20s = 100 therefore, s = 100/20 = 5m. now, calculate the time taken to travel this distance therefore, v = u + gt 0 = 10 + (-10)t -------> 0 = 10 - 10t ------> 10t = 10 and t = 10/10 = 1s therefore, if it took 1s to travel 5m, the object will 15m in 3s. so the answer is 15m. I hope this will help someone.
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